# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,d_forall(s(t_fun(X1,t_bool),X2))))<=>![X3]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X3))))),file('i/f/bool/FORALL__THM', ch4s_bools_FORALLu_u_THM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/FORALL__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/bool/FORALL__THM', aHLu_FALSITY)).
fof(4, axiom,(p(s(t_bool,f0))<=>![X4]:p(s(t_bool,X4))),file('i/f/bool/FORALL__THM', ah4s_bools_Fu_u_DEF)).
fof(6, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/bool/FORALL__THM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f0)),file('i/f/bool/FORALL__THM', aHLu_BOOLu_CASES)).
fof(17, axiom,![X1]:![X3]:(p(s(t_bool,d_forall(s(t_fun(X1,t_bool),X3))))<=>![X13]:s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X13)))=s(t_bool,t)),file('i/f/bool/FORALL__THM', ah4s_bools_FORALLu_u_DEF)).
# SZS output end CNFRefutation
